6(4x-7)-3=6(x-4)+105

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Solution for 6(4x-7)-3=6(x-4)+105 equation:


Simplifying
6(4x + -7) + -3 = 6(x + -4) + 105

Reorder the terms:
6(-7 + 4x) + -3 = 6(x + -4) + 105
(-7 * 6 + 4x * 6) + -3 = 6(x + -4) + 105
(-42 + 24x) + -3 = 6(x + -4) + 105

Reorder the terms:
-42 + -3 + 24x = 6(x + -4) + 105

Combine like terms: -42 + -3 = -45
-45 + 24x = 6(x + -4) + 105

Reorder the terms:
-45 + 24x = 6(-4 + x) + 105
-45 + 24x = (-4 * 6 + x * 6) + 105
-45 + 24x = (-24 + 6x) + 105

Reorder the terms:
-45 + 24x = -24 + 105 + 6x

Combine like terms: -24 + 105 = 81
-45 + 24x = 81 + 6x

Solving
-45 + 24x = 81 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-45 + 24x + -6x = 81 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-45 + 18x = 81 + 6x + -6x

Combine like terms: 6x + -6x = 0
-45 + 18x = 81 + 0
-45 + 18x = 81

Add '45' to each side of the equation.
-45 + 45 + 18x = 81 + 45

Combine like terms: -45 + 45 = 0
0 + 18x = 81 + 45
18x = 81 + 45

Combine like terms: 81 + 45 = 126
18x = 126

Divide each side by '18'.
x = 7

Simplifying
x = 7

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